A unit square and a rectangle touching three square sides and passing through the midpoint of the upper side. What is the minimal blue area?

Solution

The minimal blue area is 1/2.

Note that Peeping out shows that the minimum is actually reached.

Video

Please find here the video solution: Video: Peeping out II.

A unit square and a rectangle touching three square sides and passing through the midpoint of the upper side. What is the minimal blue area? https://t.co/bOTJh2qRrL pic.twitter.com/BmOptNO7bi

— Mirangu (@Mirangu1) January 26, 2024